QUANTUM 2+1 EVOLUTION MODEL
QUANTUM 2+1 EVOLUTION MODEL
复制标题
量子2 1进化模型
DOI：
10.1088/0305-4470/32/30/313
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
S. Sergeev
中科院分区：
文献类型：
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作者：
S. Sergeev
研究了与3D基本图相连的2 + 1离散时空中的量子演化模型。地图被推导为地图，提供了称为“当前系统”的2D线性晶格系统的零曲率。在动力学变量的局部Weyl代数的特殊情况下，该图似乎是规范的，它对应于已知的操作员值-Matrix。当前系统是2 + 1演化模型的线性问题。在当前系统的帮助下得出了进化积分的生成函数。因此，直接证明了3D中的完整可集成性。
A quantum evolution model in 2 + 1 discrete spacetime, connected with a 3D fundamental map , is investigated. Map is derived as a map providing a zero curvature of a 2D linear lattice system called `the current system'. In a special case of the local Weyl algebra for dynamical variables the map appears to be canonical and it corresponds to the known operator-valued -matrix. The current system is a type of the linear problem for the 2 + 1 evolution model. A generating function for the integrals of motion for the evolution is derived with the help of the current system. Thus, the complete integrability in 3D is proved directly.